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Finding the Fourth Proportional to 567.75, 783.46 and 315.68

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Solution

The fourth proportional to 567.75, 783.46 and 315.68 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 783.46 = 315.68 : x
  2. Step 2: Convert to fraction form
    567.75/783.46 = 315.68/x
  3. Step 3: Cross multiply
    567.75x = 783.46 × 315.68
  4. Step 4: Simplify right side
    567.75x = 247,317.95
  5. Step 5: Solve for x
    x = 247,317.95/567.75
  6. Step 6: Final answer
    x = 435.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.